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A129364 a(n) = Product_{k = 1..n} A066841(k). 2
1, 2, 6, 96, 480, 207360, 1451520, 2972712960, 722369249280, 5778953994240000, 63568493936640000, 9111096278347394580480000, 118444251618516129546240000, 10400352846118664303196241920000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: a(n) divides A092287(n) for all n - see comments in A129365.

LINKS

Table of n, a(n) for n=1..14.

FORMULA

a(n) = Product_{k = 1..n} Product_{d|k} d^(k/d).

a(n) = Product_{k = 1..n} ((floor(n/k))!)^k.

a(n) = exp(Sum_{k = 1..n} log(k)/2 * floor(n/k) * floor(1 + n/k)). - Daniel Suteu, Sep 12 2018

PROG

(PARI) a(n) = prod(k=1, n, k^((n\k) * (1 + n\k) \ 2)); \\ Daniel Suteu, Sep 12 2018

CROSSREFS

Cf. A007955, A066841, A092143, A092287, A129365.

Sequence in context: A206156 A229052 A280117 * A092287 A035482 A322716

Adjacent sequences:  A129361 A129362 A129363 * A129365 A129366 A129367

KEYWORD

nonn,easy

AUTHOR

Peter Bala, Apr 11 2007

STATUS

approved

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Last modified March 26 12:43 EDT 2019. Contains 321497 sequences. (Running on oeis4.)